Question 2

Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses has a coloured chimney. The roof and chimney of each house must be painted as follows.

  1. The roof must be painted green, red, or yellow.
  2. The chimney must be painted white, black, or red.
  3. No house may have the same colour chimney as the colour of roof.
  4. No house may use any of the same colours that the every next house uses.
  5. House E has a green roof.
  6. House B has a red roof and a black chimney.
Questions:
1. Which of the following is true?
A. At least two houses have black chimney.
B. At least two houses have red roofs.
C. At least two houses have white chimneys
D. At least two houses have green roofs
E. At least two houses have yellow roofs
2. Which must be false?
A. House A has a yellow roof
B. House A & C have different colour chimney
C. House D has a black chimney
D. House E has a white chimney
E. House B&D have the same colour roof.
3. If house C has a yellow roof. Which must be true?
A. House E has a white chimney
B. House E has a black chimney
C. House E has a red chimney
D. House D has a red chimney
E. House C has a black chimney
4. Which possible combinations of roof & chimney can house
  1. A red roof 7 a black chimney
  2. A yellow roof & a red chimney
  3. A yellow roof & a black chimney
A. I only
B. II only
C. III only
D. I & II only
E. I & II & III
Answers:
Question No. Answer
1. C
2. B
3. A
4. E